NAME
interpolate - function or expression interpolation (rheolef-7.2)
DESCRIPTION
The interpolation function implements the usual Lagrange interpolation of a function or a class-function on a finite element space(2).
SYNOPSIS
template
<class Expression>
field interpolate (const space& Xh, const
Expression& expr);
Example The following code compute the Lagrange interpolation pi_h_u the function u(x):
Float u(const
point& x) { return exp(x[0]*x[1]); }
...
geo omega(’square’);
space Xh (omega, ’P1’);
field pi_h_u = interpolate (Xh, u);
EXPRESSIONS
It is possible to interpolate an expression involving a combination of functions, class-functions and fields:
field vh = interpolate (Xh, sqrt(uh) + 2*max(0.,uh));
REINTERPOLATION
The reinterpolation of a field on another mesh or on another finite element space is also possible:
geo omega2
(’square2’);
space X2h (omega2, ’P1’);
field uh2 = interpolate (X2h, pi_h_u);
Such a reinterpolation is very frequent in mesh adaptive loops.
IMPLEMENTATION
This documentation has been generated from file main/lib/interpolate.h
The implementation of expressions bases on the expression template and SFINAE C++ idioms.
AUTHOR
Pierre Saramito <Pierre.Saramito [AT] imag.fr>
COPYRIGHT
Copyright (C) 2000-2018 Pierre Saramito <Pierre.Saramito [AT] imag.fr> GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>;. This is free software: you are free to change and redistribute it. There is NO WARRANTY, to the extent permitted by law.